Real-Time 3D Modeling • 6 Calculation Modes
Interactive 3D Cone Volume Calculator
Compute exact cone volume, slant height, base area, lateral area, and total surface area instantly. Select your known parameters below, drag dimensional sliders, and interact with the real-time 3D model with full step-by-step mathematical breakdown.
Standard Cone Volume ($r$ & $h$)
Enter the base radius and vertical height to calculate volume and surface area.h: 12.00 cm
r: 5.00 cm
l: 13.00 cm
Slant Height ($l$)
13.0000 cm
$\sqrt{r^2 + h^2}$
Base Surface Area ($B$)
78.5398 cm²
$\pi r^2$
Lateral Area ($A_{lat}$)
204.2035 cm²
$\pi r l$
Total Surface Area ($A_{tot}$)
282.7433 cm²
$\pi r(r + l)$
Step-by-Step Mathematical Solution
Detailed mathematical substitution and algebraic steps for your inputs.
Equivalent Volume in Other Common Units
Specialized Solvers
Explore Other Cone Calculators
Need to solve for diameter, circumference, water tank capacity, or oblique cones? Use our specialized tools.